Intermediate Algebra

by Carson, Tom; Jordan, Bill E.

• ISBN13: 9780321358356
• ISBN10: 032135835X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Addison Wesley

Summary

While using Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses. Book jacket.

Table of Contents

Preface	vi
To the Student	xvii
Learning Styles Inventory	xxiii
Real Numbers and Expressions	1	(54)
Sets and the Structure of Algebra	2	(10)
Operations with Real Numbers; Properties of Real Numbers	12	(12)
Exponents, Roots, and Order of Operations	24	(11)
Evaluating and Rewriting Expressions	35	(20)
Summary	46	(4)
Review Exercises	50	(4)
Practice Test	54	(1)
Linear Equations and Inequalities in One Variable	55	(80)
Linear Equations and Formulas	56	(10)
Solving Problems	66	(16)
Solving Linear Inequalities	82	(12)
Compound Inequalities	94	(14)
Equations Involving Absolute Value	108	(5)
Inequalities Involving Absolute Value	113	(22)
Summary	121	(6)
Review Exercises	127	(5)
Practice Test	132	(3)
Equations and Inequalities in Two Variables and Functions	135	(88)
Graphing Linear Equations	136	(14)
The Slope of a Line	150	(15)
The Equation of a Line	165	(14)
Graphing Linear Inequalities	179	(9)
Introduction to Functions and Function Notation	188	(35)
Summary	206	(6)
Review Exercises	212	(5)
Practice Test	217	(2)
Chapters 1--3 Cumulative Review Exercises	219	(4)
Systems of Linear Equations and Inequalities	223	(86)
Solving Systems of Linear Equations in Two Variables	224	(20)
Solving Systems of Linear Equations in Three Variables	244	(8)
Solving Applications Using Systems of Equations	252	(15)
Solving Systems of Linear Equations Using Matrices	267	(11)
Solving Systems of Linear Equations Using Cramer's Rule	278	(10)
Solving Systems of Linear Inequalities	288	(21)
Summary	297	(6)
Review Exercises	303	(4)
Practice Test	307	(2)
Polynomials	309	(74)
Exponents and Scientific Notation	310	(15)
Polynomials and Polynomial Functions	325	(16)
Multiplying Polynomials	341	(12)
Dividing Polynomials	353	(10)
Synthetic Division and the Remainder Theorem	363	(20)
Summary	370	(5)
Review Exercises	375	(5)
Practice Test	380	(3)
Factoring	383	(64)
Greatest Common Factor and Factoring by Grouping	384	(10)
Factoring Trinomials	394	(12)
Factoring Special Products and Factoring Strategies	406	(11)
Solving Equations by Factoring	417	(30)
Summary	433	(5)
Review Exercises	438	(4)
Practice Test	442	(1)
Chapters 1--6 Cumulative Review Exercises	443	(4)
Rational Expressions and Equations	447	(86)
Simplifying, Multiplying, and Dividing Rational Expressions	448	(17)
Adding and Subtracting Rational Expressions	465	(13)
Simplifying Complex Rational Expressions	478	(11)
Solving Equations Containing Rational Expressions	489	(11)
Applications with Rational Expressions; Variation	500	(33)
Summary	518	(7)
Review Exercises	525	(5)
Practice Test	530	(3)
Rational Exponents, Radicals, and Complex Numbers	533	(88)
Radical Expressions and Functions	534	(12)
Rational Exponents	546	(12)
Multiplying, Dividing, and Simplifying Radicals	558	(9)
Adding, Subtracting, and Multiplying Radical Expressions	567	(9)
Rationalizing Numerators and Denominators of Radical Expressions	576	(12)
Radical Equations and Problem Solving	588	(11)
Complex Numbers	599	(22)
Summary	607	(6)
Review Exercises	613	(6)
Practice Test	619	(2)
Quadratic Equations	621	(82)
Completing the Square	622	(13)
Solving Quadratic Equations Using the Quadratic Formula	635	(12)
Solving Equations That Are Quadratic in Form	647	(11)
Graphing Quadratic Functions	658	(15)
Solving Nonlinear Inequalities	673	(30)
Summary	687	(5)
Review Exercises	692	(4)
Practice Test	696	(2)
Chapters 1--9 Cumulative Review Exercises	698	(5)
Exponential and Logarithmic Functions	703	(84)
Composite and Inverse Functions	704	(14)
Exponential Functions	718	(12)
Logarithmic Functions	730	(10)
Properties of Logarithms	740	(9)
Common and Natural Logarithms	749	(7)
Exponential and Logarithmic Equations with Applications	756	(31)
Summary	770	(9)
Review Exercises	779	(6)
Practice Test	785	(2)
Conic Sections	787	(1)
The Parabola and Circle	788	(14)
Ellipses and Hyperbolas	802	(14)
Nonlinear Systems of Equations	816	(7)
Nonlinear Inequalities and Systems of Inequalities	823	(8)
Summary	831	(7)
Review Exercises	838	(5)
Practice Test	843	(2)
Chapters 1--11 Cumulative Review Exercises	845
Appendix A Arithmetic Sequences and Series	1	(10)
Appendix B Geometric Sequences and Series	11	(10)
Appendix C The Binomial Theorem	21	(6)
Appendix D Permutations and Combinations	27	(6)
Appendix E Probability	33
Answers (Student edition only)	1	(1)
Glossary	1	(1)
Index	1	(9)
Applications Index	10	(4)
Photograph Credits	14